Nikolai Grigoryevich Chudakov

Nikolai Grigoryevich Tschudakow ( Russian Николай Григорьевич Чудаков , English transliteration Nikolai Grigor'evich Chudakov, formerly written Tschudakoff in Germany * 14. December 1904 in Lyssowsk region Novye Burassy in Saratov province , † 22. November 1986 in Saratov ) was a Russian Mathematician who dealt with number theory.

Tschudakow studied at the University of Saratov and Lomonosov University in Moscow, where he graduated in 1927. He stayed at Moscow University until 1930 when he became a professor in Saratov. In 1936 he received his doctorate (Russian doctorate, corresponds to a habilitation in the West) at the Steklow Institute . He then stayed in Moscow until 1940 and was then Professor of Number Theory and Algebra (a newly created chair) in Saratov, where he remained until his death. An exception is the period from 1962 to 1972, when he did research at the Mathematical Institute of the Academy of Sciences in Leningrad at the invitation of Juri Linnik .

From Tschudakow some important results of the derived analytic number theory , in which he, the then new methods of Vinogradov anwandte. He tightened a theorem by Guido Hoheisel about asymptotic distances between neighboring prime numbers. In 1947, independently of Linnik, he gave a proof of Winogradow's theorem in the context of the Goldbach conjecture , namely the representability of every sufficiently large odd natural number as the sum of three odd prime numbers. He also gave the proof in his 1947 book Introduction to the theory of Dirichlet L-Functions . Using Winogradow's methods, he also gave improved estimates for the Riemann zeta function in the critical strip (real part between 0 and 1) and used this to improve the estimate of the residual term in the prime number theorem .

In 1970 he was invited speaker at the International Congress of Mathematicians in Nice (lecture On the generalized characters. Effective methods in the theory of quadratic fields ).

Web links

• Biography at McTutor
• Obituary in the Russian Mathematical Surveys 1987